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In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

Applications · Statistics 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

The scaling of Large Language Models (LLMs) is increasingly limited by data quality. Most methods handle data mixing and sample selection separately, which can break the structure in code corpora. We introduce \textbf{UniGeM}, a framework…

Machine Learning · Computer Science 2026-02-04 Changhao Wang , Yunfei Yu , Xinhao Yao , Jiaolong Yang , Riccardo Cantoro , Chaobo Li , Qing Cui , Jun Zhou

Large Language Model (LLM) reasoning for complex tasks inherently involves a trade-off between solution accuracy and computational efficiency. The subsequent step of verification, while intended to improve performance, further complicates…

Artificial Intelligence · Computer Science 2025-05-20 Jianyuan Zhong , Zeju Li , Zhijian Xu , Xiangyu Wen , Kezhi Li , Qiang Xu

Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

Machine Learning · Statistics 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

In this work, we revisit the estimation of the model parameters of a Weibull distribution based on iid observations, using the maximum likelihood estimation (MLE) method which does not yield closed expressions of the estimators. Among other…

Computation · Statistics 2025-01-22 Buu-Chau Truong , Peter Mphekgwana , Nabendu Pal

Accurate diagnosis of power transformer faults is essential for ensuring the stability and safety of electrical power systems. This study presents a comparative analysis of conventional machine learning (ML) algorithms and deep learning…

Machine Learning · Computer Science 2025-05-13 Bhuvan Saravanan , Pasanth Kumar M D , Aarnesh Vengateson

This paper studies the fundamental learning problem of the energy-based model (EBM). Learning the EBM can be achieved using the maximum likelihood estimation (MLE), which typically involves the Markov Chain Monte Carlo (MCMC) sampling, such…

Machine Learning · Computer Science 2023-12-06 Jiali Cui , Tian Han

We consider the problem of estimating the distribution function, the density and the hazard rate of the (unobservable) event time in the current status model. A well studied and natural nonparametric estimator for the distribution function…

Statistics Theory · Mathematics 2010-01-13 Piet Groeneboom , Geurt Jongbloed , Birgit I. Witte

Energy based models (EBMs) are appealing due to their generality and simplicity in likelihood modeling, but have been traditionally difficult to train. We present techniques to scale MCMC based EBM training on continuous neural networks,…

Machine Learning · Computer Science 2020-07-01 Yilun Du , Igor Mordatch

Energy-based models (EBMs) have experienced a resurgence within machine learning in recent years, including as a promising alternative for probabilistic regression. However, energy-based regression requires a proposal distribution to be…

Machine Learning · Computer Science 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

Accurate determination of fuel properties of complex mixtures over a wide range of pressure and temperature conditions is essential to utilizing alternative fuels. The present work aims to construct cheap-to-compute machine learning (ML)…

Machine Learning · Statistics 2021-10-19 Rodolfo S. M. Freitas , Ágatha P. F. Lima , Cheng Chen , Fernando A. Rochinha , Daniel Mira , Xi Jiang

We study the problem of maximum likelihood estimation of densities that are log-concave and lie in the graphical model corresponding to a given undirected graph $G$. We show that the maximum likelihood estimate (MLE) is the product of the…

Statistics Theory · Mathematics 2025-12-02 Kaie Kubjas , Olga Kuznetsova , Elina Robeva , Pardis Semnani , Luca Sodomaco

A purely data-driven approach using deep convolutional neural networks is discussed in the context of Large Eddy Simulation (LES) of turbulent premixed flames. The assessment of the method is conducted a priori using direct numerical…

Fluid Dynamics · Physics 2018-10-22 Zacharias M. Nikolaou , Charalambos Chrysostomou , Luc Vervisch , Stewart Cant

Training deep generative models with maximum likelihood remains a challenge. The typical workaround is to use variational inference (VI) and maximize a lower bound to the log marginal likelihood of the data. Variational auto-encoders (VAEs)…

Machine Learning · Statistics 2019-08-13 Adji B. Dieng , John Paisley

The missing data problem has been broadly studied in the last few decades and has various applications in different areas such as statistics or bioinformatics. Even though many methods have been developed to tackle this challenge, most of…

Machine Learning · Statistics 2021-06-10 Thu Nguyen , Khoi Minh Nguyen-Duy , Duy Ho Minh Nguyen , Binh T. Nguyen , Bruce Alan Wade

Simulation is one of the key components in high energy physics. Historically it relies on the Monte Carlo methods which require a tremendous amount of computation resources. These methods may have difficulties with the expected High…

Data Analysis, Statistics and Probability · Physics 2019-10-02 Viktoria Chekalina , Elena Orlova , Fedor Ratnikov , Dmitry Ulyanov , Andrey Ustyuzhanin , Egor Zakharov

An approach to utilize recent advances in deep generative models for anomaly detection in a granular (continuous) sense on a real-world image dataset with quality issues is detailed using recent normalizing flow models, with implications in…

Machine Learning · Computer Science 2020-01-14 John Just

We propose a number of new algorithms for learning deep energy models and demonstrate their properties. We show that our SteinCD performs well in term of test likelihood, while SteinGAN performs well in terms of generating realistic looking…

Machine Learning · Statistics 2017-07-05 Qiang Liu , Dilin Wang